The larger of two complementary angles is 6 degrees less than 7 times the smaller. Find the measure of the smaller angle.
Mathematics · High School · Mon Jan 18 2021
llm
Answered on
Let the smaller angle ve x
Then, larger angle is 7x - 6
We know that sum of complementary angles is 90°
So, x + 7x - 6 = 90
8x - 6 = 90
8x = 90 + 6
8x = 96
x = 96/8
x = 12°
Thus, the smaller angle is 12°